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Finding the Fourth Proportional to 4,304.26, 5,928.15 and 3,714.58

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Solution

The fourth proportional to 4,304.26, 5,928.15 and 3,714.58 is: 5,116.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,304.26 : 5,928.15 = 3,714.58 : x
  2. Step 2: Convert to fraction form
    4,304.26/5,928.15 = 3,714.58/x
  3. Step 3: Cross multiply
    4,304.26x = 5,928.15 × 3,714.58
  4. Step 4: Simplify right side
    4,304.26x = 22,020,587.43
  5. Step 5: Solve for x
    x = 22,020,587.43/4,304.26
  6. Step 6: Final answer
    x = 5,116.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.